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vlabodo [156]
3 years ago
7

A square garden has an area of 144 square feet. How many yard of fence will it take to enclose the garden?

Mathematics
2 answers:
evablogger [386]3 years ago
7 0

Answer:

16 yards

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the length of side )

Here A = 144 , then

s² = 144 ( take square root of both sides )

s = \sqrt{144} = 12

Then

perimeter = 4s = 4 × 12 = 48

fence required to enclose garden = 48 ft

Using the conversion 1 yard = 3 feet , then

fence required = 48 ÷ 3 = 16 yards

jonny [76]3 years ago
4 0

Answer:

16 yards

Step-by-step explanation:

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Before we calculate we can use some common sence thinknig to narrow down the choices. We know that Robert is gonig DOWN the hill, so it doesnt make sence that he woudl have a positive rate of change (i.e. the number feet up the hill he is is decreasing, not increasing) So right away, A & B are clearly wrong.

If we look at the last two (C & D) we can see that if -460 were right after 10 minutes he would have walked down 4,600 feet. This is WAY more that the total height of the hill and so can't be correct.

So C must be correct.

We can check this with some simple math:
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3 years ago
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Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3
lbvjy [14]

Answer:

14.63% probability that a student scores between 82 and 90

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 72.3, \sigma = 8.9

What is the probability that a student scores between 82 and 90?

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So

X = 90

Z = \frac{X - \mu}{\sigma}

Z = \frac{90 - 73.9}{8.9}

Z = 1.81

Z = 1.81 has a pvalue of 0.9649

X = 82

Z = \frac{X - \mu}{\sigma}

Z = \frac{82 - 73.9}{8.9}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

0.9649 - 0.8186 = 0.1463

14.63% probability that a student scores between 82 and 90

3 0
3 years ago
PLEASE HELP ME!
schepotkina [342]

Answer:

76.8

Step-by-step explanation:

Using the proportion

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3 years ago
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Elanso [62]

Answer:

The answer is 2

Step-by-step explanation:

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